Abstract This paper investigates four classes of functions with a single discontinuous point. We give the sufficient and necessary conditions under which the second order iterates are continuous ...

Spread the loveTeaching students to identify graphs of continuous functions is an important concept in mathematics. Understanding the continuity of a function can help students make predictions about ...

I just noticed that the textbook lacks an example relevant to this exercise group, which is a type of problem we frequently assess: Given a piecewise-defined function, we want to know if it is ...

We study continuity properties of value functions in information structures for stochastic team, zero-sum, and general game problems. We establish continuity properties of the value function under ...

Control barrier functions (CBFs) are a popular method for encoding safety specifications for dynamical systems. In this article, a notion of CBF is defined that permits vector-valued barrier functions ...